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Scanning tunnelling microscopy shows that electrons in twisted bilayer graphene are strongly correlated for a wide range of density. In particular, a correlated regime appears near charge neutrality and theory suggests nematic ordering.

The conducting surface states of 3D topological insulators are two-dimensional. In an analogous way, the edge states of 2D topological insulators are one-dimensional. Direct evidence of this one-dimensionality is now presented, by means of scanning tunnelling spectroscopy, for bismuth bilayers—one of the first theoretically predicted 2D topological insulators.

The superconductivity in Bernal bilayer graphene that emerges from the spin–orbit coupling induced by proximal tungsten diselenide can be tuned by modulating the twist angle between the two materials.

Pair density modulation, an unusual superconducting state whose superconducting gap is modulated by the wavelength corresponding to the lattice periodicity, is described and observed in exfoliated thin flakes of the iron-based superconductor FeTe_0.55Se_0.45.

Scanning tunnelling microscopy imaging of the correlated phases of magic-angle twisted trilayer graphene shows marked signatures of interaction-driven spatial symmetry breaking.

The authors theoretically study superconductors that are terminated by a first-order phase transition to a correlated phase of different symmetry, referred to as the false vacuum. They propose that quenching across this transition leads to a nonequilibrium ephemeral superconductor, detectable with simple transport probes.

Two regions of superconductivity are observed in the phase diagram of Bernal-stacked bilayer graphene. Spin–orbit coupling induced by the substrate and orbital moments are shown to be important in describing their properties.

Placing monolayer tungsten diselenide on Bernal-stacked bilayer graphene promotes enhanced superconductivity, indicating that proximity-induced spin–orbit coupling plays a key role in stabilizing the pairing, paving the way for engineering tunable, ultra-clean graphene-based superconductors.

High-resolution scanning tunnelling microscopy and spectroscopy are used to provide evidence for unconventional superconductivity in magic-angle twisted trilayer graphene.

Correlation-driven topological phases with different Chern numbers are observed in magic-angle twisted bilayer graphene in modest magnetic fields, indicating that strong electronic interactions can lead to topologically non-trivial phases.

Placing a single layer of tungsten diselenide in contact with twisted bilayer graphene enables superconductivity even for non-magic twist angles where insulating behavior is absent.

Twisted bilayer graphene hosts flat electronic bands, but their relationship to the observed correlated phases is still debated. Here, it is shown that electron–electron interactions can help to flatten the bands and generate the correlated phases.